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Finding the Fourth Proportional to 12,536.40, 17,303.34 and 7,234.38

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Solution

The fourth proportional to 12,536.40, 17,303.34 and 7,234.38 is: 9,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.40 : 17,303.34 = 7,234.38 : x
  2. Step 2: Convert to fraction form
    12,536.40/17,303.34 = 7,234.38/x
  3. Step 3: Cross multiply
    12,536.40x = 17,303.34 × 7,234.38
  4. Step 4: Simplify right side
    12,536.40x = 125,178,936.83
  5. Step 5: Solve for x
    x = 125,178,936.83/12,536.40
  6. Step 6: Final answer
    x = 9,985.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.